Pith Number

pith:KN2ZSGNP

pith:2009:KN2ZSGNPRCZ5LJ6LS2UHGD3KD4

not attested not anchored not stored refs pending

A Lie algebra that can be written as a sum of two nilpotent subalgebras, is solvable

Pasha Zusmanovich

arxiv:0911.5418 v2 · 2009-11-28 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KN2ZSGNPRCZ5LJ6LS2UHGD3KD4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:37:11.798444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53759919af88b3d5a7cb96a8730f6a1f109a40970ff21c1c48b911d756891947

Aliases

arxiv: 0911.5418 · arxiv_version: 0911.5418v2 · doi: 10.48550/arxiv.0911.5418 · pith_short_12: KN2ZSGNPRCZ5 · pith_short_16: KN2ZSGNPRCZ5LJ6L · pith_short_8: KN2ZSGNP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KN2ZSGNPRCZ5LJ6LS2UHGD3KD4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 53759919af88b3d5a7cb96a8730f6a1f109a40970ff21c1c48b911d756891947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54fd463f6097eba82c40f3bbd9b741e71785b2aa1dd9f4a315ec1383b481222e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-11-28T19:27:08Z",
    "title_canon_sha256": "468b344355e3652753e343641ef7255f7ec65bab7eddb60a4b1a0ad905eb5beb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5418",
    "kind": "arxiv",
    "version": 2
  }
}